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Finding the Fourth Proportional to 3,209.76, 4,791.58 and 3,067.92

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Solution

The fourth proportional to 3,209.76, 4,791.58 and 3,067.92 is: 4,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.76 : 4,791.58 = 3,067.92 : x
  2. Step 2: Convert to fraction form
    3,209.76/4,791.58 = 3,067.92/x
  3. Step 3: Cross multiply
    3,209.76x = 4,791.58 × 3,067.92
  4. Step 4: Simplify right side
    3,209.76x = 14,700,184.11
  5. Step 5: Solve for x
    x = 14,700,184.11/3,209.76
  6. Step 6: Final answer
    x = 4,579.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.